复杂网络输出同步及稳定性分析

Output Synchronization and Stability Analysis of Complex Networks

针对现实复杂网络系统的状态经常难以观测,甚至观测不到,而有时仅部分状态能达到同步就能满足需要的情况,讨论了复杂网络输出同步问题。首先提出了复杂网络的输出同步概念,然后考虑了输出矩阵为奇异和非奇异的两种情况下的稳定性问题,给出了输出达到同步的几个充分条件。最后给出算例表明了在不满足状态同步的情况下,可实现复杂网络系统输出同步。

States in complex networks systems are difficult to be observed or measured, even the states can not be observed or measured at all; and the synchronization of only a part of states can satisfy the practical requirements, namely it is unnecessary to achieve synchronization for all states. For these phenomena, the problem of output synchronization of complex network is discussed. First, the definition of output synchronization of complex network is proposed. Then, we consider two cases of the output matrix： singular and nonsingular matrix. And the stability of the output synchronization of complex network is analyzed. Some sufficient conditions for output synchronization are shown. Finally, an output synchronization example is provided to understand the significant role of output synchronization, while the states syn-chronization can not be achieved.